In The integral

Change the order of integration.

Can any1 tell me how to do this?

i think y goes from 0 to 1 but i dont know how to do x.

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- Oct 20th 2008, 11:25 AMLipticbovenChanging order of integration?
In The integral

Change the order of integration.

Can any1 tell me how to do this?

i think y goes from 0 to 1 but i dont know how to do x. - Oct 20th 2008, 01:39 PMshawsend
What's y doing? It's going from the lower curve to the upper curve . We then form the Riemann sum of that from x=1 to x=2. It helps to draw the curves. When we switch the order, integrating with respect to x. Now what is x doing? Well, x will be going across the same curves but in terms of x: from to (complete the square). And then we form the Riemann sum of that and let y go from 0 to 1.